Home
Class 11
MATHS
The interior angles of a polygon are in ...

The interior angles of a polygon are in A.P. the smallest angle is `120^@` and the common difference is `5^@dot` Find the number of sides of the polygon.

Text Solution

AI Generated Solution

To solve the problem of finding the number of sides of a polygon whose interior angles are in Arithmetic Progression (A.P.), we follow these steps: ### Step 1: Understand the properties of the polygon The sum of the interior angles of a polygon with \( n \) sides is given by the formula: \[ \text{Sum of interior angles} = (n - 2) \times 180^\circ \] ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RD SHARMA|Exercise Solved Examples And Exercises|228 Videos

Similar Questions

Explore conceptually related problems

The interior angles of a polygon are in AP. The smalllest angle is 52^(@) and the common difference is 8^(@) . Find the number of sides of the polygon.

Interior angles of a polygon are in A.P.If the smallest angle is 107.5^(@) and common differencis 5^(@), then find the number of sides of the polygon.

Interior angle of polygon are in A.P.If the smallest angle is 120^(@) and the common difference is 5^(@), find the number of sides of polygon.

The interior angle of polygon are in A.P.the smallest angle is 75^(0) and the common difference is 10^(@). Find the numberof sieds of the polygon.

The interior angles of a polygon are in A.P. The smallest anlge is ((2pi)/(3))^(c ) and common difference is 5^(@) . Find the number of sides in the polygon.

The interior angles of a convex polygon are in A.P. If the smallest angle is 100^(@) and the common difference is 4^(@) , then the number of sides is

RD SHARMA-ARITHMETIC PROGRESSIONS-Solved Examples And Exercises
  1. If the sum of first m terms of an A.P. is the same as the sum of its f...

    Text Solution

    |

  2. The ratio of the sum of ma n dn terms of an A.P. is m^2: n^2dot Show t...

    Text Solution

    |

  3. The interior angles of a polygon are in A.P. the smallest angle is 120...

    Text Solution

    |

  4. Prove that a sequence in an A.P., if the sum of its n terms is of the ...

    Text Solution

    |

  5. If the first term of an A.P. is 2 and the sum of first five terms is ...

    Text Solution

    |

  6. The sum of n terms of two arithmetic progressions are in the ratio (3n...

    Text Solution

    |

  7. Let Sk be the sum of first k terms of an A.P. What must this progressi...

    Text Solution

    |

  8. Find the sum of the following arithmetic progression: 50,46,42,… upto ...

    Text Solution

    |

  9. Find the sum of the following series : (i) 1,3,5,7...upto 12 terms.

    Text Solution

    |

  10. Find the sum of the following arithmetic progression: 3,9/2,6,15/2,…...

    Text Solution

    |

  11. Find the sum of the following arithmetic progression: 41,36,31,…….to 1...

    Text Solution

    |

  12. Find the sum of the following arithmetic progression: a+b ,\ a-b ,\...

    Text Solution

    |

  13. Find the sum of the following arithmetic progression: (x-y)/(x+y),(3x-...

    Text Solution

    |

  14. Find the sum of the following series: 2+5+8+. . . .+182

    Text Solution

    |

  15. Find the sum of the following series: 101+99+97+......+47

    Text Solution

    |

  16. Find the sum of the following series: (a-b)^2+(a^2+b^2)+(a+b)^2+...+[(...

    Text Solution

    |

  17. Find the sum of first n natural numbers.

    Text Solution

    |

  18. Find the sum of all natural numbers between 1 and 100, which are divis...

    Text Solution

    |

  19. Find the sum of the first n odd numbers

    Text Solution

    |

  20. Find the sum of all odd numbers between 100 and 200.

    Text Solution

    |